Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-26T02:53:00.947Z Has data issue: false hasContentIssue false
  • English
  • Français

The Iwasawa theoretic Gross–Zagier theorem

Published online by Cambridge University Press:  21 June 2005

Benjamin Howard
Benjamin Howard
Affiliation:
Department of Mathematics, Harvard University, Cambridge, MA 02138, [email protected] Department of Mathematics, University of Chicago, Chicago, IL 60637, USA
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We prove Mazur and Rubin's $\Lambda$-adic Gross–Zagier conjecture (under some restrictive hypotheses), which relates Heegner points in towers of number fields to the 2-variable p-adic L-function. The result generalizes Perrin-Riou's p-adic Gross–Zagier theorem.

Keywords

Iwasawa theoryHeegner points11G05
Type
Research Article
Information
Compositio Mathematica , Volume 141 , Issue 4 , July 2005 , pp. 811 - 846
Copyright
Foundation Compositio Mathematica 2005